Renormalization group reduction of non-integrable Hamiltonian systems | Zendy

Stephan I. Tzenov | Zendy

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Renormalization group reduction of non-integrable Hamiltonian systems

Author(s) -

Stephan I. Tzenov

Publication year - 2002

Publication title -

new journal of physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.584

H-Index - 190

ISSN - 1367-2630

DOI - 10.1088/1367-2630/4/1/306

Subject(s) - physics , integrable system , renormalization group , hamiltonian (control theory) , hamiltonian system , mathematical physics , amplitude , phase space , renormalization , functional renormalization group , quantum electrodynamics , classical mechanics , quantum mechanics , mathematical optimization , mathematics

Based on the Renormalization Group method, a reduction of non integrablemulti-dimensional hamiltonian systems has been performed. The evolutionequations for the slowly varying part of the angle-averaged phase spacedensity, and for the amplitudes of the angular modes have been derived. It hasbeen shown that these equations are precisely the Renormalization Groupequations. As an application of the approach developed, the modulationaldiffusion in one-and-a-half degree of freedom dynamical system has been studiedin detail.

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